In this paper, pan-Boolean algebra for PID control concepts, methods and principles is proposed based on theory of Pan-Boolean algebra, Take the deviation of the control system, of the deviation, integral of the deviation as a pan-Boolean algebra PID controller’s input, for the different characteristics of the object and design of different control rules, we can get pan-Boolean algebra PID control algorithm; according to the system Indicators requirements, calculating simulation and optimization design of control algorithm parameters to achieve optimal control for system. The paper also proposed a three-dimensional coordinate system described method for system output response or the control parameters and deviation, deviation differential or deviation integral, this is a profoundly new tool for control system’s moving process features. The paper is important for PID control and application.